Question

Two angles, Angle A and Angle B are supplementary to one another. If the measure of B is 30 degrees more than the measure of A, find the measure of both angles.

Answer 1

Answer:

m<A = 75 and m<B = 105.

Step-by-step explanation:

To find the two angles, we first take 180 (because supplementary angles are two angles that add up to 180) and we divide it by 2 to get 90. Then we take 30 degrees and divide that by 2 to get 15. You add 15 degrees to measure B and subtract 15 degrees to measure A. So then you get m<A = 90 - 15 = 75 and m<B = 90 + 15 = 105.

Answer 2

The measure of both angles is 75° and 105°.

Let the value of the shorter angle = x

The bigger angle = x + 30

Note that the sum of a supplementary angle = 180°

Therefore, x + (x + 30°) = 180°

2x + 30° = 180°

Collect like terms

2x = 180° - 30°

2x = 150°

x = 150°/2

x = 75°

The smaller angle is 75°

Bigger angle = 75° + 30° = 105°

Therefore, the measure of both angles are 75° and 105

Read related link on:

https://brainly.com/question/15316393